Elevator Problem: Find Tension in Cable

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To solve the elevator problem, the weight of the elevator is 1400 kg, and it initially moves downward at 12 m/s before coming to a stop over a distance of 41 m. The acceleration calculated is 1.75 m/s², which is used to determine the tension in the cable. The formula T = m(a + g) is applied, resulting in a tension of 16,170 N. This calculation effectively incorporates both the acceleration and gravitational force acting on the elevator.
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Homework Statement


Elevator weighs 1400 kg with an initial velocity of 12 m/s (moving downward). With a constant acceleration, the elevator comes to a stop in 41 m. What is the tension on the elevator cable?


Homework Equations



T=m(a+g)

The Attempt at a Solution



I'm having trouble finding the acceleration of the elevator.
 
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I got it, a=1.75 m/s\hat{2}

by v\hat{2}=v\check{i}\hat{2}+2a(\Deltax)

T=16170 N
 

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